Trigonometry Identities - Half Angle Identity True/False (Radians)

Level 1

This math topic focuses on checking the correctness of trigonometric half-angle identities in radians. It involves determining whether various half-angle formulas for sine, cosine, and tangent functions are true or false. Each problem provides a Latex-rendered trigonometric expression that students must evaluate and decide if it accurately represents the half-angle identity for given angles expressed in terms of pi. The problems cover a range of trigonometric identities, helping students deepen their understanding of these fundamental concepts in trigonometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry Identities - Half Angle Identity True/False (Radians) Worksheet

Trigonometry Identities - Half Angle Identity True/False (Radians)

$A LaTex expression showing \text{tan}{(\frac{7Pi over 6 }{2})} = \frac{\text{sin}(7Pi over 6 )}{1+\text{cos}(7Pi over 6 )}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{sin}{(\frac{7Pi over 4 }{2})} = \pmsquare root of \frac{1-\text{cos(7Pi over 4 )}{2}}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{sin}{(\frac{2Pi over 3 }{2})} = \pmsquare root of \frac{1+\text{cos(2Pi over 3 )}{1-\text{cos}(2Pi over 3 }}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{tan}{(\frac{5Pi over 3 }{2})} = \pmsquare root of \frac{1+\text{sin(5Pi over 3 )}{1-\text{sin}(5Pi over 3 }}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{sin}{(\frac{5Pi over 6 }{2})} = \pmsquare root of \frac{1+\text{cos(5Pi over 6 )}{1-\text{cos}(5Pi over 6 }}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{cos}{(\frac{5Pi over 6 }{2})} = \pmsquare root of \frac{1+\text{cos(5Pi over 6 )}{2}}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{cos}{(\frac{7Pi over 6 }{2})} = \pmsquare root of \frac{1+\text{cos(7Pi over 6 )}{2}}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{cos}{(\frac{7Pi over 4 }{2})} = \pmsquare root of \frac{1+\text{cos(7Pi over 4 )}{2}}$

Is this half-angle identity correct?

Yes